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4488 = 2331117
BaseRepresentation
bin1000110001000
320011020
41012020
5120423
632440
716041
oct10610
96136
104488
113410
122720
132073
1418c8
1514e3
hex1188

4488 has 32 divisors (see below), whose sum is σ = 12960. Its totient is φ = 1280.

The previous prime is 4483. The next prime is 4493. The reversal of 4488 is 8844.

It is a Cunningham number, because it is equal to 672-1.

It is an interprime number because it is at equal distance from previous prime (4483) and next prime (4493).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10 and base 16.

It is a zygodrome in base 10 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4488.

It is not an unprimeable number, because it can be changed into a prime (4481) by changing a digit.

4488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

24488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480).

4488 is an abundant number, since it is smaller than the sum of its proper divisors (8472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4488 is a wasteful number, since it uses less digits than its factorization.

4488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 33 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4488 is about 66.9925368978. The cubic root of 4488 is about 16.4949479482.

Subtracting 4488 from its reverse (8844), we obtain a square (4356 = 662).

The spelling of 4488 in words is "four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488